What is the Greatest Common Factor of 88128 and 88146?

Greatest common factor (GCF) of 88128 and 88146 is 18.

GCF(88128,88146) = 18

We will now calculate the prime factors of 88128 and 88146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88128 and 88146.

How to find the GCF of 88128 and 88146?

We will first find the prime factorization of 88128 and 88146. After we will calculate the factors of 88128 and 88146 and find the biggest common factor number .

Step-1: Prime Factorization of 88128

Prime factors of 88128 are 2, 3, 17. Prime factorization of 88128 in exponential form is:

88128 = 2⁶ × 3⁴ × 17¹

Step-2: Prime Factorization of 88146

Prime factors of 88146 are 2, 3, 59, 83. Prime factorization of 88146 in exponential form is:

88146 = 2¹ × 3² × 59¹ × 83¹

Step-3: Factors of 88128

List of positive integer factors of 88128 that divides 88128 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 32, 34, 36, 48, 51, 54, 64, 68, 72, 81, 96, 102, 108, 136, 144, 153, 162, 192, 204, 216, 272, 288, 306, 324, 408, 432, 459, 544, 576, 612, 648, 816, 864, 918, 1088, 1224, 1296, 1377, 1632, 1728, 1836, 2448, 2592, 2754, 3264, 3672, 4896, 5184, 5508, 7344, 9792, 11016, 14688, 22032, 29376, 44064

Step-4: Factors of 88146

List of positive integer factors of 88146 that divides 88128 without a remainder.

1, 2, 3, 6, 9, 18, 59, 83, 118, 166, 177, 249, 354, 498, 531, 747, 1062, 1494, 4897, 9794, 14691, 29382, 44073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88128 and 88146. The biggest common factor number is the GCF number.
So the greatest common factor 88128 and 88146 is 18.

Also check out the Least Common Multiple of 88128 and 88146